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Differential Equations

A differential equation, unlike other mathematical equations, has one or more of its unknowns undergoing a continual change. These equations mathematically describe the most significant phenomena in the universe, including Newtonian and quantum mechanics, waves and oscillators, biological growth and decay, heat, economics, and general relativity. Please direct all concerns about these intricate and all-encompassing equations here.

523 Questions

How many tenths are there in 2 units?

Well, 2 units, right? So if you split it in tenths each you get twenty tenths...right?

What does 4 mean with a little 2?

Well, darling, when you see that little 2 next to the 4, it means you gotta multiply the 4 by itself. So, 4 to the power of 2 is 16. It's just a fancy way of saying 4 multiplied by 4. Math can be sassy like that.

How do you save five hundred thousand dollars in 25 years?

One dollar at a time ...

Seriously ...

$20,000 a year

or

$1666.67 a month

Start working!

How do you solve second order differential equation with many variables?

I want to solve the following equation:

X''(t)=(`ρ`*Cd*(Vz-Wz)*(Vx-Wx))/Bc

Y''(t)+(`ρ`*Cd*(Vy-Wy)*(Vx-Wx))/Bc

Z''(t)+((`ρ`*Cd*(Vz-Wz)^2)/Bc)+g

I don't have values of any variable. i need general solution. I am using Mupad, matlab please help me. Thanks

What does cheating mean in math terms?

"Cheating" is a colloquialism often used by mathematicians whenever they utilize previously derived results that are too advanced mathematically for their audience to understand in order to solve a problem. In reality, the usage of these results is perfectly valid since they have all been mathematically proven somewhere down the line. A better term might be "exploiting," but even that suggests an abuse of mathematical rules, which in actuality, is not happening.

For example, consider the trivial differential equation, dy/dx = x. To solve this, a math teacher will usually "cheat" by multiplying both sides of the equation by dx and then integrating. Well, the legality of multiplying something by an infinitesimally small number can't really be proven until one studies the mathematical discipline of real analysis, which is far more advanced than differential equations. A math professor certainly isn't going to open up that can of worms in a differential equation class, so instead, they just "cheat."

What kind of equations are known as differential equations?

A differential equation is a mathematical equation used to identify an unknown variable using other known variables that directly affect the unknown variable. An example of this would be discovering the velocity of a planet we cannot physically see by studying the effect it has on its parent star, through variables such as gravity, lensing, and Doppler motion. This method relies on the known variables to have predictable effects on the unknown variable, thereby allowing one to discover the answer.

What are the factors for 6885?

1, 3, 5, 9, 15, 17, 27, 45, 51, 81, 85, 135, 153, 255, 405, 459, 765, 1377, 2295, 6885

How do solve for differential equation?

There are many kinds of differential equations and their solutions require different methods.

Which is more 8000002 milliliters or 8 kiloliters?

The answer should be obvious.

8000000 - or 8,000,000 - milliliters is exactly 8 kiloliters.

So, add two milliliters to get 8,000,002 milliliters and it is more. Not much, but it is more.

How to find QR matrix in LQR linear quadratic regulator?

Q = 1 / Maximum value of Z permissible

R = 1/ Maximum value of u permissible

How do you form a differential equation?

You write an equation that involves an independent variable (for example "x"), a dependent variable (for example "y"), and the first derivative, or higher-level derivatives, of the dependent variable (for example, dy/dx).

What is the answer to x over 9 plus 2 equals -7?

Subtract 2 from each side: x/9 = -7 - 2 ie -9

Multiply both sides by 9: x = -81